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Finding the Fourth Proportional to 38,423.46, 57,638.16 and 14,742.34

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Solution

The fourth proportional to 38,423.46, 57,638.16 and 14,742.34 is: 22,114.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.46 : 57,638.16 = 14,742.34 : x
  2. Step 2: Convert to fraction form
    38,423.46/57,638.16 = 14,742.34/x
  3. Step 3: Cross multiply
    38,423.46x = 57,638.16 × 14,742.34
  4. Step 4: Simplify right side
    38,423.46x = 849,721,351.69
  5. Step 5: Solve for x
    x = 849,721,351.69/38,423.46
  6. Step 6: Final answer
    x = 22,114.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.